Which of the following is true in a normal distribution?
A)The mean equals zero.
B)The mode and the third quartile are equal.
C)The mean divides the distribution into two equal areas.
D)The area under the curve is 0.68.

Question

Quizplus · Accepted Answer

In a normal distribution, the mean (which is denoted by μ) divides the distribution into two equal areas. This means that 50% of the data falls on either side of the mean. Therefore, choice C is the correct statement. Choices A, B, and D are not true in a normal distribution. The mean can be any value (not necessarily zero), the mode and the third quartile may or may not be equal, and the area under the curve is 0.68 only if we consider one standard deviation on either side of the mean, which corresponds to the 68-95-99.7 rule.

Which of the Following Is True in a Normal Distribution